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Question

Let A={9,10,11,12,13} and f:AN be defined by f(n)= highest prime factor of n, then its range is

A
{13}
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B
{3,5,11,13}
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C
{11,13}
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D
{2,3,5,11}
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Solution

The correct option is B {3,5,11,13}
A={9,10,11,12,13}
f(A)= highest prime factor of A
Highest prime factor of 9=3
Highest prime factor of 10=5
Highest prime factor of 11=11
Highest prime factor of 12=3
Highest prime factor of 13=13
So range of f is {3,5,11,13}

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